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Finding the Third Proportional to 10,090 and 21,716

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Solution

The third proportional to 10,090 and 21,716 is: 46,737.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,090 : 21,716 = 21,716 : x
  2. Step 2: Convert to fraction form
    10,090/21,716 = 21,716/x
  3. Step 3: Cross multiply
    10,090x = 21,716 × 21,716
  4. Step 4: Simplify right side
    10,090x = 471,584,656
  5. Step 5: Solve for x
    x = 471,584,656/10,090
  6. Step 6: Final answer
    x = 46,737.83

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.